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Finding the Fourth Proportional to 11,716.86, 16,174.56 and 7,473.63

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Solution

The fourth proportional to 11,716.86, 16,174.56 and 7,473.63 is: 10,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.86 : 16,174.56 = 7,473.63 : x
  2. Step 2: Convert to fraction form
    11,716.86/16,174.56 = 7,473.63/x
  3. Step 3: Cross multiply
    11,716.86x = 16,174.56 × 7,473.63
  4. Step 4: Simplify right side
    11,716.86x = 120,882,676.85
  5. Step 5: Solve for x
    x = 120,882,676.85/11,716.86
  6. Step 6: Final answer
    x = 10,316.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.